Solve the following 5y-4-8 - y-3 -5- y-6-4

5y 4/8 y 3 /5= y+6/4LCM of 8, 5, 4 is 40Multiply by 40 on both sides.⇒ 5(5y 4) – 8(y 3) = 10(y+6) 0ex0ex⇒ 25y – 20 – 8y + 24 = 10y + 600ex0ex⇒ 7y = 56⇒ y = ...

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Standard VIII

Mathematics

Applications (Word problem)

Solve the fol...

Question

Solve the following
$\frac{5 y - 4}{8} - \frac{y - 3}{5} = \frac{y + 6}{4}$

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Solution

$\frac{5 y - 4}{8} - \frac{y - 3}{5} = \frac{y + 6}{4}$
LCM of $8, 5, 4$ is $40$
Multiply by $40$ on both sides.
$\Rightarrow 5 (5 y - 4) - 8 (y - 3) = 10 (y + 6) \Rightarrow 25 y - 20 - 8 y + 24 = 10 y + 60 \Rightarrow 7 y = 56$
$\Rightarrow y = \frac{56}{7} = 8$
Hence, the value of $y$ is $8$ .

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Solve the following 5y-48-y-35=y+64

5y-48-y-35=y+64LCM of 8,5,4 is 40Multiply by 40 on both sides.⇒5(5y-4)–8(y-3)=10(y+6)⇒25y–20–8y+24=10y+60⇒7y=56⇒y=567=8Hence, the value of yis 8.

Solve the following
$\frac{5 y - 4}{8} - \frac{y - 3}{5} = \frac{y + 6}{4}$

$\frac{5 y - 4}{8} - \frac{y - 3}{5} = \frac{y + 6}{4}$
LCM of $8, 5, 4$ is $40$
Multiply by $40$ on both sides.
$\Rightarrow 5 (5 y - 4) - 8 (y - 3) = 10 (y + 6) \Rightarrow 25 y - 20 - 8 y + 24 = 10 y + 60 \Rightarrow 7 y = 56$
$\Rightarrow y = \frac{56}{7} = 8$
Hence, the value of $y$ is $8$ .